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Finding the Fourth Proportional to 5,668.47, 7,821.77 and 3,150.18

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Solution

The fourth proportional to 5,668.47, 7,821.77 and 3,150.18 is: 4,346.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.47 : 7,821.77 = 3,150.18 : x
  2. Step 2: Convert to fraction form
    5,668.47/7,821.77 = 3,150.18/x
  3. Step 3: Cross multiply
    5,668.47x = 7,821.77 × 3,150.18
  4. Step 4: Simplify right side
    5,668.47x = 24,639,967.67
  5. Step 5: Solve for x
    x = 24,639,967.67/5,668.47
  6. Step 6: Final answer
    x = 4,346.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.